Fundamental Concepts Test

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Fundamental Concepts Test - 5

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Weekly Quiz Competition

Question 1
1 / -0

Find and correct errors of the followingmathematical expressions:
$\frac{7 z + 5}{5} = 7 z$

A
7z

B
7z+5

C
$\frac{7 z + 5}{5}$

D
No error

Solution

we will get thecorrect answer by separating the denominators, which is $\frac{7 z + 5}{5} = 1 + \frac{7 z}{5}$
Question 2
1 / -0

Find product of following pairs of monomial −4h,7h

A
24h

B
-28h

C
$- 28 h^{2}$

D
$- 29 h^{2}$

Solution

$- 4 h \times 7 h = - 28 h^{2}$
Question 3
1 / -0

Find and correct errors of the followingmathematical expressions:
$(2 z + 3 b) (z - b) = 2 z^{2} - 3 b^{2}$

A
(2z+3b)

B
(z-b)

C
$2 z^{2} - 3 b^{2}$

D
No Error

Solution

Middle term ismissing in the expression correct statement is $(2 z + 3 b) (z - b) = 2 z^{2} + z b - 3 b^{2}$
Question 4
1 / -0

Carry out the following division $66 m n^{2} o^{3} \div 11 n o^{2}$

A
4mno

B
6mno

C
9mno

D
8no

Solution

$\frac{66 m n^{2} o^{3}}{11 n o^{2}} 6 m n o$ As we know 66/11 is 6and we substract the powers of the same variables which means $n^{2 - 1}$ = n and $o^{3 - 2}$ =0
So the answer aftersimplification is 6mno.
Question 5
1 / -0

Factorise the expression and divide them asdirected 4az(z2+6z−16)÷2a(z+8)

A
3z(a-2)

B
2z(z-2)

C
2z(a-2)

D
3z(a-3)

Solution

$\frac{4 a z (z 2 + 6 z - 16)}{2 a (z + 8)}$
$2 z \frac{z (z + 8) - 2 (z + 8)}{z + 8}$ = 2z $\frac{(z - 2) (z + 8)}{(z + 8)}$
both the (z+8) willbe cancelled out and we’ll be left with 2z(z-2)
Question 6
1 / -0

Subtract 4m-7mb+3b+12 from 12m-9mb+5b-3

A
8m+2b-2mb-15

B
8m+3b-2mb+15

C
8m-2b+3mb+15

D
8m+2b+3mb+15

Solution

12m-9mb+5b-3-(4m-7mb+3b+12)
12m-9mb+5b-3-4m+7mb-3b-12
8m+2b-2mb-15
Question 7
1 / -0

Divide the polynomial by the given monomial $(5 z^{2} - 6 z) \div 3 z$

A
2z

B
$\frac{1}{3} (5 z - 6)$

C
$\frac{1}{2} (6 z - 5)$

D
4z

Solution

$\frac{5 z^{2} - 6 z}{3 z} = \frac{5 z^{2}}{3 z} - \frac{6 z}{3 z}$
$\frac{5 z}{3} - 2 = \frac{1}{3} (5 z - 6)$
Question 8
1 / -0

Divide as directed. 5(2g+1)(3g+5)÷(2g+1)

A
5(3g+5)

B
(2g+1)

C
(3g+5)

D
5(2g+1)

Solution

$\frac{5 (2 g + 1) (3 g + 5)}{(2 g + 1)}$
Both (2g+1) will be cancelled outand we’ll be left with 5(3g+5).
Question 9
1 / -0

Obtain the product of m,2n,3o,6mno

A
36mno

B
$36 m^{2} n o$

C
$36 m^{2} n^{2} o^{2}$

D
$36 m o$

Solution

$m \times 2 n \times 3 o \times 6 m n o$

$= 36 m^{2} n^{2} o^{2}$
Question 10
1 / -0

Find areas of rectangles with following pairs ofmonomials as their length and breadth respectively.
$20 j^{2}, 5 k^{2}$

A
100jk

B
100j

C
$100 j k^{2}$

D
$100 j^{2} k^{2}$

Solution

Area of rectangle,A=Length×Breadth
$20 j^{2} \times 5 k^{2}$
$= 100 j^{2} k^{2}$
Question 11
1 / -0

Simplify 3e(4e−5)+33e(4e−5)+3 and find itsvalue for e = 3

A
66

B
35

C
49

D
84

Solution

$3 e (4 e - 5) + 3$
$3 \times 3 (4 \times 3 - 5) + 3$
$9 (7) + 3 = 66$
Question 12
1 / -0

Find and correct errors of the followingmathematical expressions: $\frac{3 z}{3 z + 2} = \frac{1}{2}$

A
$\frac{1}{2}$

B
$3 z$

C
$3 z + 2$

D
No error

Solution

As we cannot separate the denominators, the statement will remain as itis the correct statement is $\frac{3 z}{3 z + 2} = \frac{3}{3 z + 2}$
Question 13
1 / -0

Add $a - x + a x, x - c + x c, c - a + a c$

A
$a c + x a + c x$

B
$a x + x c + a c$

C
$x a + a c + c x$

D
$a c + a x + x c$

Solution

$a - x + a x, x - c + x c, c - a + a c$
Adding this will give
$a - x + a x + x - c + x c + c - a + a c$
$= a x + x c + a c$
Question 14
1 / -0

the following division $(10 g - 25) \div (2 g - 5)$

A
5

B
7

C
2

D
9

Solution

$\frac{(10 g - 25)}{(2 g - 5)} = \frac{5 (2 g - 5)}{(2 g - 5)}$
Both (2g-5) will be cancelled out and theanswer will be 5
Question 15
1 / -0

Obtain the volume of rectangular box withfollowing length, breadth and height respectively.
$z, 2 z^{2}, 3 z^{4}$

A
$5 z^{7}$

B
$z^{7}$

C
$10 z^{7}$

D
$6 z^{7}$

Solution

Volume=Length × Breadth × Height
V=l × b × h
V= $z \times 2 z^{2} \times 3 z^{4} = 6 z^{7}$

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Re-Attempt Weekly Quiz Competition

Fundamental Concepts Test - 5

Result

Fundamental Concepts Test - 5

Score

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SHARING IS CARING

Question 1

7z

7z+5

7z+55

No error

Solution

Question 2

24h

-28h

-28h2

-29h2

Solution

Question 3

(2z+3b)

(z-b)

2z2-3b2

No Error

Solution

Question 4

4mno

6mno

9mno

8no

Solution

Question 5

3z(a-2)

2z(z-2)

2z(a-2)

3z(a-3)

Solution

Question 6

8m+2b-2mb-15

8m+3b-2mb+15

8m-2b+3mb+15

8m+2b+3mb+15

Solution

Question 7

2z

135z-6

126z-5

4z

Solution

Question 8

5(3g+5)

(2g+1)

(3g+5)

5(2g+1)

Solution

Question 9

36mno

36m2no

36m2n2o2

36mo

Solution

Question 10

100jk

100j

100jk2

100j2k2

Solution

Question 11

66

35

49

84

Solution

Question 12

12

3z

3z+2

No error

Solution

$\frac{7 z + 5}{5}$

$- 28 h^{2}$

$- 29 h^{2}$

$2 z^{2} - 3 b^{2}$

$\frac{1}{3} (5 z - 6)$

$\frac{1}{2} (6 z - 5)$

$36 m^{2} n o$

$36 m^{2} n^{2} o^{2}$

$36 m o$

$100 j k^{2}$

$100 j^{2} k^{2}$

$\frac{1}{2}$

$3 z$

$3 z + 2$

$a c + x a + c x$

$a x + x c + a c$

$x a + a c + c x$

$a c + a x + x c$

$5 z^{7}$

$z^{7}$

$10 z^{7}$

$6 z^{7}$